#[macro_export]
#[doc(hidden)]
macro_rules! __diesel_for_each_tuple {
    ($callback:ident) => {
        $callback! {
            1 {
                (0) -> A, SA, TA,
            }
            2 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
            }
            3 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
            }
            4 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
            }
            5 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
            }
            6 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
            }
            7 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
            }
            8 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
            }
            9 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
            }
            10 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
            }
            11 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
            }
            12 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
            }
            13 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
            }
            14 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
            }
            15 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
            }
            16 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
            }
        }

        #[cfg(feature = "32-column-tables")]
        $callback! {
            17 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
            }
            18 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
            }
            19 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
            }
            20 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
            }
            21 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
            }
            22 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
            }
            23 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
            }
            24 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
            }
            25 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
            }
            26 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
            }
            27 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
            }
            28 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
            }
            29 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
            }
            30 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
            }
            31 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
            }
            32 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
            }
        }

        #[cfg(feature = "64-column-tables")]
        $callback! {
            33 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
            }
            34 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
            }
            35 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
            }
            36 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
            }
            37 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
            }
            38 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
            }
            39 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
            }
            40 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
            }
            41 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
            }
            42 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
            }
            43 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
            }
            44 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
            }
            45 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
            }
            46 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
            }
            47 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
            }
            48 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
            }
            49 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
            }
            50 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
            }
            51 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
            }
            52 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
            }
            53 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
            }
            54 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
            }
            55 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
            }
            56 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
            }
            57 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
            }
            58 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
            }
            59 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
            }
            60 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
            }
            61 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
            }
            62 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
            }
            63 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
            }
            64 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
            }
        }

        #[cfg(feature = "128-column-tables")]
        $callback! {
            65 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
            }
            66 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
            }
            67 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
            }
            68 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
            }
            69 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
            }
            70 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
            }
            71 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
            }
            72 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
            }
            73 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
            }
            74 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
            }
            75 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
            }
            76 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
            }
            77 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
            }
            78 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
            }
            79 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
            }
            80 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
            }
            81 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
            }
            82 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
            }
            83 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
            }
            84 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
            }
            85 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
            }
            86 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
            }
            87 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
            }
            88 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
            }
            89 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
            }
            90 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
            }
            91 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
            }
            92 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
            }
            93 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
            }
            94 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
            }
            95 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
            }
            96 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
            }
            97 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
            }
            98 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
            }
            99 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
            }
            100 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
            }
            101 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
            }
            102 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
            }
            103 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
            }
            104 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
            }
            105 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
            }
            106 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
            }
            107 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
            }
            108 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
            }
            109 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
            }
            110 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
            }
            111 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
            }
            112 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
            }
            113 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
            }
            114 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
            }
            115 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
            }
            116 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
            }
            117 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
            }
            118 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
            }
            119 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
            }
            120 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
            }
            121 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
            }
            122 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
            }
            123 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
            }
            124 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
                (123) -> DT, SDT, TDT,
            }
            125 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
                (123) -> DT, SDT, TDT,
                (124) -> DU, SDU, TDU,
            }
            126 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
                (123) -> DT, SDT, TDT,
                (124) -> DU, SDU, TDU,
                (125) -> DV, SDV, TDV,
            }
            127 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
                (123) -> DT, SDT, TDT,
                (124) -> DU, SDU, TDU,
                (125) -> DV, SDV, TDV,
                (126) -> DW, SDW, TDW,
            }
            128 {
                (0) -> A, SA, TA,
                (1) -> B, SB, TB,
                (2) -> C, SC, TC,
                (3) -> D, SD, TD,
                (4) -> E, SE, TE,
                (5) -> F, SF, TF,
                (6) -> G, SG, TG,
                (7) -> H, SH, TH,
                (8) -> I, SI, TI,
                (9) -> J, SJ, TJ,
                (10) -> K, SK, TK,
                (11) -> L, SL, TL,
                (12) -> M, SM, TM,
                (13) -> N, SN, TN,
                (14) -> O, SO, TO,
                (15) -> P, SP, TP,
                (16) -> Q, SQ, TQ,
                (17) -> R, SR, TR,
                (18) -> S, SS, TS,
                (19) -> T, ST, TT,
                (20) -> U, SU, TU,
                (21) -> V, SV, TV,
                (22) -> W, SW, TW,
                (23) -> X, SX, TX,
                (24) -> Y, SY, TY,
                (25) -> Z, SZ, TZ,
                (26) -> AA, SAA, TAA,
                (27) -> AB, SAB, TAB,
                (28) -> AC, SAC, TAC,
                (29) -> AD, SAD, TAD,
                (30) -> AE, SAE, TAE,
                (31) -> AF, SAF, TAF,
                (32) -> AG, SAG, TAG,
                (33) -> AH, SAH, TAH,
                (34) -> AI, SAI, TAI,
                (35) -> AJ, SAJ, TAJ,
                (36) -> AK, SAK, TAK,
                (37) -> AL, SAL, TAL,
                (38) -> AM, SAM, TAM,
                (39) -> AN, SAN, TAN,
                (40) -> AO, SAO, TAO,
                (41) -> AP, SAP, TAP,
                (42) -> AQ, SAQ, TAQ,
                (43) -> AR, SAR, TAR,
                (44) -> AS, SAS, TAS,
                (45) -> AT, SAT, TAT,
                (46) -> AU, SAU, TAU,
                (47) -> AV, SAV, TAV,
                (48) -> AW, SAW, TAW,
                (49) -> AX, SAX, TAX,
                (50) -> AY, SAY, TAY,
                (51) -> AZ, SAZ, TAZ,
                (52) -> BA, SBA, TBA,
                (53) -> BB, SBB, TBB,
                (54) -> BC, SBC, TBC,
                (55) -> BD, SBD, TBD,
                (56) -> BE, SBE, TBE,
                (57) -> BF, SBF, TBF,
                (58) -> BG, SBG, TBG,
                (59) -> BH, SBH, TBH,
                (60) -> BI, SBI, TBI,
                (61) -> BJ, SBJ, TBJ,
                (62) -> BK, SBK, TBK,
                (63) -> BL, SBL, TBL,
                (64) -> BM, SBM, TBM,
                (65) -> BN, SBN, TBN,
                (66) -> BO, SBO, TBO,
                (67) -> BP, SBP, TBP,
                (68) -> BQ, SBQ, TBQ,
                (69) -> BR, SBR, TBR,
                (70) -> BS, SBS, TBS,
                (71) -> BT, SBT, TBT,
                (72) -> BU, SBU, TBU,
                (73) -> BV, SBV, TBV,
                (74) -> BW, SBW, TBW,
                (75) -> BX, SBX, TBX,
                (76) -> BY, SBY, TBY,
                (77) -> BZ, SBZ, TBZ,
                (78) -> CA, SCA, TCA,
                (79) -> CB, SCB, TCB,
                (80) -> CC, SCC, TCC,
                (81) -> CD, SCD, TCD,
                (82) -> CE, SCE, TCE,
                (83) -> CF, SCF, TCF,
                (84) -> CG, SCG, TCG,
                (85) -> CH, SCH, TCH,
                (86) -> CI, SCI, TCI,
                (87) -> CJ, SCJ, TCJ,
                (88) -> CK, SCK, TCK,
                (89) -> CL, SCL, TCL,
                (90) -> CM, SCM, TCM,
                (91) -> CN, SCN, TCN,
                (92) -> CO, SCO, TCO,
                (93) -> CP, SCP, TCP,
                (94) -> CQ, SCQ, TCQ,
                (95) -> CR, SCR, TCR,
                (96) -> CS, SCS, TCS,
                (97) -> CT, SCT, TCT,
                (98) -> CU, SCU, TCU,
                (99) -> CV, SCV, TCV,
                (100) -> CW, SCW, TCW,
                (101) -> CX, SCX, TCX,
                (102) -> CY, SCY, TCY,
                (103) -> CZ, SCZ, TCZ,
                (104) -> DA, SDA, TDA,
                (105) -> DB, SDB, TDB,
                (106) -> DC, SDC, TDC,
                (107) -> DD, SDD, TDD,
                (108) -> DE, SDE, TDE,
                (109) -> DF, SDF, TDF,
                (110) -> DG, SDG, TDG,
                (111) -> DH, SDH, TDH,
                (112) -> DI, SDI, TDI,
                (113) -> DJ, SDJ, TDJ,
                (114) -> DK, SDK, TDK,
                (115) -> DL, SDL, TDL,
                (116) -> DM, SDM, TDM,
                (117) -> DN, SDN, TDN,
                (118) -> DO, SDO, TDO,
                (119) -> DP, SDP, TDP,
                (120) -> DQ, SDQ, TDQ,
                (121) -> DR, SDR, TDR,
                (122) -> DS, SDS, TDS,
                (123) -> DT, SDT, TDT,
                (124) -> DU, SDU, TDU,
                (125) -> DV, SDV, TDV,
                (126) -> DW, SDW, TDW,
                (127) -> DX, SDX, TDX,
            }
        }
    };
}
